Physics, 06.08.2019 03:30 monae2597

Asolenoid is made from a copper wire that is 15 m long and has a radius of 1.6 mm. the resistivity of copper is 1.68 x 10-8 ωm. to form the solenoid, the copper wire is tightly wrapped around a tube that is 0.35 m long and has a diameter of 2.5 cm. the solenoid is connected to a power source which supplies an emf of 2.5 v. find the magnitude of the magnetic field through the center of this solenoid

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Answer from: bravomichelle75

The magnitude of the magnetic field through the center of this solenoid is 0.0568 T.

Explanation:

Given that,

Length = 15 m

Radius r₁ = 1.6 mm

Resistivity of copper $\rho=1.68\times10^{-8}\ \Omega m$

Radius $r_{2} =\dfrac{2.5}{2}=1.25\ cm$

emf = 2.5 V

Length of tube = 0.35 m

We need to calculate the area of cross section

$A = \pi r_{1}^2$

$A=\pi\times(1.6\times10^{-3})^2$

$A=0.000008042\ m^2$

$A=8.038\times10^{-6}\ m^2$

We need to calculate the resistance

Using formula of resistivity

$R = \dfrac{\rho l}{A}$

Put the value into the formula

$R=\dfrac{1.68\times10^{-8}\times15}{8.038\times10^{-6}}$

$R=0.03135\ \Omega$

We need to calculate the current

Using formula of current

$I=\dfrac{\epsilon}{R}$

Where, $\epsilon$ = emf

Put the value into the formula

$I=\dfrac{2.5}{0.03135}$

$I=79.745\ A$

We need to calculate the number of turns per unit length

Using formula of number of turns

$N=\dfrac{l}{2\pi r_{2}}$

$N=\dfrac{15}{2\pi\times1.25\times10^{-2}}$

N=190.98

$n=\dfrac{N}{l}$

$n=\dfrac{190.98}{0.35}$

$n=545.65\ turns/m$

We need to calculate the magnetic field

Using formula of magnetic field

$B=\mu_{0}nI$

$B=4\pi\times10^{-7}\times545.65\times79.745$

$B=0.0568\ T$

Hence, The magnitude of the magnetic field through the center of this solenoid is 0.0568 T.

Answer from: Quest

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50

Use the table above to find the yearly premiums in each of the following cases. emily ruth webster i

Answer from: Quest

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Asolenoid is made from a copper wire that is 15 m long and has a radius of 1.6 mm. the resistivity o...